I aerate with a whisk.
I used half a packet of dry yeast.
Pitching temp was mid-high 60's.
I'm still not too keen on all of the mashing jargon. What I do is BIAB. I bring it to ~165* drop grains, stir well, add thermometers (one in center near bottom, and one on side about midway down), wrap with old blanket and check every 20-30 mins. My notes tell me that after about 40 mins I found my temp in the low 140's. I heated the pot and stirred. I assume this is why I got a little higher gravity. I added a little time to my mash. When nearly done I microwave water to about 130-160* and pull the bag and place it in my colander and pour my sparge water and use the base of the cup to squeeze a bit.
My fermentation temps were low to mid 60's.
i don't do any sort of protein rest or any of the many other things I've read about concerning mashes.
Qhrumphf: I see you live near my step father. Nice town, though I didn't care for the traffic getting there! And $12 for 1/2 a mile on a toll road because we didn't have the pass!
Did you rehydrate or pitch dry? If rehydrated, 1/2 pack should have been plenty. If you just pitched dry you probably underpitched so that could indeed have been the problem. Seems like the rest of it should be fine.
As far as mashing, you can test conversion, making sure all the starches have been converted into sugar. Simple but not reliable tests are simply observing the mash after it's had time to settle, if there's a clearish wort on top, instead of a very turbid one. Or you can simply taste it, and see if it tastes sweet. A more surefire test is to remove a small sample of the liquid mash (no grain matter), and add a few drops of iodine. If you see a color change to dark purplish black, it means you've still got starch present. And then discard that sample regardless.
I do an iodine test every once in a while, and especially after complicated mashes (multiple decoction mashes, etc). I've never had a problem with conversion, and with single infusion mashes I usually don't bother, but it's definitely a cheap and easy test.
My concern (probably ok, just a concern) is that you've got 33% base malt, 33% unmalted adjunct, and 33% crystal malts. While the crystal malts don't need conversion, that's possibly spreading the conversion power of the base malt (enzymatic power measured in degrees Lintner) very low, and preventing it from having enough oomph to fully convert the oats and wheat berries. In the future, with partial mashes, I'd try to target about 50% base malt to 50% everything else, and when using adjunct grains like oats or unmalted grains (unmalted wheat, unmalted barley, etc), either increase the percentage higher than that, or go with something like 6 row malt with a very high conversion power.
The primary concern here is that brewing yeast will not eat starch, but some wild yeast and many bacteria will, and if you leave unconverted starch you're basically providing fertile ground for bad guys to feast on, in addition to permanent hazes and the like.
Again, I don't necessarily suspect that's what happened, especially if you didn't notice anything like a pellicle or anything other than a bubblegum character (no over attenuation, no gushers, no sourness, no funk, no bandaid or any other common wild yeast phenols, etc). Some internet searching says that Nottingham can indeed produce bubblegum if it gets too stressed (I saw a combo of dry pitching and warm ferment on a few other HBT threads), so my guess is some other breakdown in fermentation mangement.
Question: Is your low to mid 60s fermentation temp the room, or the beer? If it was the room, then with the heat created by fermentation you could be fermenting in the 70s, which high enough for Notty to create bubblegum.